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102242432 = 277910111
BaseRepresentation
bin1100001100000…
…01100010000000
321010101110020202
412012001202000
5202133224212
614051224332
72351021615
oct606014200
9233343222
10102242432
1152793286
122a2a80a8
131824a3a6
14d81650c
158e990c2
hex6181880

102242432 has 32 divisors (see below), whose sum is σ = 206284800. Its totient is φ = 50469120.

The previous prime is 102242431. The next prime is 102242443. The reversal of 102242432 is 234242201.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102242431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5057 + ... + 15167.

It is an arithmetic number, because the mean of its divisors is an integer number (6446400).

Almost surely, 2102242432 is an apocalyptic number.

It is a pronic number, being equal to 10111×10112.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103142400).

102242432 is an abundant number, since it is smaller than the sum of its proper divisors (104042368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102242432 is an equidigital number, since it uses as much as digits as its factorization.

102242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10204 (or 10192 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 102242432 is about 10111.4999876378. The cubic root of 102242432 is about 467.6027505379.

Adding to 102242432 its reverse (234242201), we get a palindrome (336484633).

The spelling of 102242432 in words is "one hundred two million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 5056 10111 10112 20222 40444 80888 161776 323552 647104 798769 1294208 1597538 3195076 6390152 12780304 25560608 51121216 102242432